Atkin-Lehner |
2+ 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
38950j |
Isogeny class |
Conductor |
38950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-39923750000000 = -1 · 27 · 510 · 19 · 412 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 -4 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,0,304000] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:530:1] |
Generators of the group modulo torsion |
j |
-1/2555120000 |
j-invariant |
L |
2.5329552379227 |
L(r)(E,1)/r! |
Ω |
0.51300134637862 |
Real period |
R |
1.2343804045561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7790i1 |
Quadratic twists by: 5 |